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Finding the Fourth Proportional to 20,807.54, 31,189.68 and 13,316.39

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Solution

The fourth proportional to 20,807.54, 31,189.68 and 13,316.39 is: 19,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.54 : 31,189.68 = 13,316.39 : x
  2. Step 2: Convert to fraction form
    20,807.54/31,189.68 = 13,316.39/x
  3. Step 3: Cross multiply
    20,807.54x = 31,189.68 × 13,316.39
  4. Step 4: Simplify right side
    20,807.54x = 415,333,942.86
  5. Step 5: Solve for x
    x = 415,333,942.86/20,807.54
  6. Step 6: Final answer
    x = 19,960.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.